You are given that a wheel has a radius of 2 feet and a spin rate of 10 revolutions per minute. Describe how you would determine

Question

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You are given that a wheel has a radius of 2 feet and a spin rate of 10 revolutions per minute. Describe how you would determine

the linear velocity, in feet per minute, of a point on the edge of the wheel. State the linear velocity of the wheel, and explain why your answer is reasonable.

Mathematics

1 answer:

Inessa [12.5K] · Answer 1 · 2026-03-18T11:23:47+03:00

Answer:

Approximately 126 ft/min

Step-by-step explanation:

Given r = 2 feet and that the wheel is rotating at 10 rpms, which means it makes 10 revolutions every minute. We want to determine the speed in ft/sec.

10 rev 1 minute 2π radians 2 feet

----------- × ---------------- × ------------------ × ------------

1 minute 60 seconds 1 revolution 1 radian

= 10 * 2π * 2 = 126 ft/minute

The obtained answer makes sense. An alternative, straightforward method would be to use the formula 2π * r * rpm. Hence, 2π * 2 * 10 results in 126 ft/minute.